The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 96
... segments of circles on the equal straight lines AB , CD : the segment AEB shall be equal to the segment CFD . For if the segment AEB be applied to the segment CFD , so that the point Á may be on the point E C , and the straight line AB ...
... segments of circles on the equal straight lines AB , CD : the segment AEB shall be equal to the segment CFD . For if the segment AEB be applied to the segment CFD , so that the point Á may be on the point E C , and the straight line AB ...
Página 98
... segment BACis similar to the segment EDF ; [ III.Def.11 . and they are on equal straight lines BC , EF . But similar segments of circles on equal straight lines are equal to one another ; [ III . 24 . therefore the segment BAC is equal ...
... segment BACis similar to the segment EDF ; [ III.Def.11 . and they are on equal straight lines BC , EF . But similar segments of circles on equal straight lines are equal to one another ; [ III . 24 . therefore the segment BAC is equal ...
Página 107
... segment containing an angle equal to a given rectilineal angle . Let ABC be the given circle , and D the given recti- lineal angle : it is required to cut off from the circle ABC a segment containing an angle equal to the angle D. Draw ...
... segment containing an angle equal to a given rectilineal angle . Let ABC be the given circle , and D the given recti- lineal angle : it is required to cut off from the circle ABC a segment containing an angle equal to the angle D. Draw ...
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Términos y frases comunes
ABCD AC is equal adjacent angles angle ABC angle ACB angle BAC angle DEF angle EDF angles equal Axiom base BC bisected centre circle ABC circumference Constr Construction Corollary Definition 15 demonstration diameter double draw equal angles equal to F equiangular equimultiples Euclid Euclid's Elements exterior angle fourth given circle given straight line gnomon greater ratio greater than F Hypothesis less Let ABC Let the straight meet multiple opposite angle parallel to BC parallelogram perpendicular polygon produced proportionals PROPOSITION 13 Q.E.D. PROPOSITION rectangle contained remaining angle right angles segment shewn sides similar and similarly Simson square described square on AC straight line &c straight line AB THEOREM tiples touches the circle triangle ABC triangle DEF twice the rectangle Wherefore